138131831 has 2 divisors, whose sum is σ = 138131832. Its totient is φ = 138131830.

The previous prime is 138131821. The next prime is 138131839.

138131831 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 138131831 - 2¹⁰ = 138130807 is a prime.

It is a super-2 number, since 2×138131831² = 38160805470825122, which contains 22 as substring.

It is equal to p_7812452 and since 138131831 and 7812452 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 138131794 and 138131803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138131839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69065915 + 69065916.

It is an arithmetic number, because the mean of its divisors is an integer number (69065916).

Almost surely, 2^138131831 is an apocalyptic number.

138131831 is a deficient number, since it is larger than the sum of its proper divisors (1).

138131831 is an equidigital number, since it uses as much as digits as its factorization.

138131831 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 29.

The square root of 138131831 is about 11752.9498850289. The cubic root of 138131831 is about 516.9294275430.

The spelling of 138131831 in words is "one hundred thirty-eight million, one hundred thirty-one thousand, eight hundred thirty-one".